... to test several standard temperature-based implementations of the enthalpy method and assesses their accuracy and stability with respect to the discretization parameters. Design/methodology/approach The class of spatially symmetric semi-analytical self-similar solutions to the Stefan problem is found...

... interface. The need for moving grids and co-ordinate mapping procedures increases the difficulty of this technique. Dendritic solidification Enthalpy method Solutal convection Binary alloy Solidification Convection Alloys c=specific heat C=solute concentration...

... diffusion formulation, with solid‐liquid phase change, where the effects of pressure and convection are neglected. A full enthalpy method is employed eliminating singularities which result from abrupt changes in heat capacity at the phase interfaces. The FE formulation is based on the fixed grid technique...

...C.R. SWAMINATHAN; V.R. VOLLER Two common fixed grid enthalpy methods used in the numerical modelling of phase change problems are the apparent heat capacity and the source based methods. In this paper, a general enthalpy method that includes as subsets both apparent heat capacity and source based...

...MINWU YAO; ARNON CHAIT The homographic approximation, in which the Heaviside step function is replaced by a continuous smooth curve, is applied to the enthalpy method for heat transfer problems with isothermal phase change. Both the finite difference and finite element implementations, based...